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Finding the Fourth Proportional to 152,393.31, 210,295.40 and 84,412.71

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Solution

The fourth proportional to 152,393.31, 210,295.40 and 84,412.71 is: 116,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,393.31 : 210,295.40 = 84,412.71 : x
  2. Step 2: Convert to fraction form
    152,393.31/210,295.40 = 84,412.71/x
  3. Step 3: Cross multiply
    152,393.31x = 210,295.40 × 84,412.71
  4. Step 4: Simplify right side
    152,393.31x = 17,751,604,192.47
  5. Step 5: Solve for x
    x = 17,751,604,192.47/152,393.31
  6. Step 6: Final answer
    x = 116,485.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.